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Finding the Fourth Proportional to 4,159, 6,239.31 and 1,850.50

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Solution

The fourth proportional to 4,159, 6,239.31 and 1,850.50 is: 2,776.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159 : 6,239.31 = 1,850.50 : x
  2. Step 2: Convert to fraction form
    4,159/6,239.31 = 1,850.50/x
  3. Step 3: Cross multiply
    4,159x = 6,239.31 × 1,850.50
  4. Step 4: Simplify right side
    4,159x = 11,545,843.16
  5. Step 5: Solve for x
    x = 11,545,843.16/4,159
  6. Step 6: Final answer
    x = 2,776.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.